EXISTENCE OF COMPATIBLE CONTACT STRUCTURES ON G(2)-MANIFOLDS

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Arikan M. F., Cho H., Salur S.

ASIAN JOURNAL OF MATHEMATICS, cilt.17, sa.2, ss.321-333, 2013 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 2
  • Basım Tarihi: 2013
  • Doi Numarası: 10.4310/ajm.2013.v17.n2.a3
  • Dergi Adı: ASIAN JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.321-333
  • Anahtar Kelimeler: (Almost) contact structures, G(2) structures, METRICS
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we show the existence of (co-oriented) contact structures on certain classes of G(2)-manifolds, and that these two structures are compatible in certain ways. Moreover, we prove that any seven-manifold with a spin structure (and so any manifold with G(2)-structure) admits an almost contact structure. We also construct explicit almost contact metric structures on manifolds with G(2)-structures.